Solve 1=-2/3a+7/3

$$1 = - \frac { 2 } { 3 } a + \frac { 7 } { 3 }$$

Solve for a

$$a=2$$

Steps for Solving Linear Equation

Swap sides so that all variable terms are on the left hand side.

$$-\frac{2}{3}a+\frac{7}{3}=1$$

Subtract \frac{7}{3} from both sides.

$$-\frac{2}{3}a=1-\frac{7}{3}$$

Convert 1 to fraction \frac{3}{3}.

$$-\frac{2}{3}a=\frac{3}{3}-\frac{7}{3}$$

Since \frac{3}{3} and \frac{7}{3} have the same denominator, subtract them by subtracting their numerators.

$$-\frac{2}{3}a=\frac{3-7}{3}$$

Subtract 7 from 3 to get -4.

$$-\frac{2}{3}a=-\frac{4}{3}$$

Multiply both sides by -\frac{3}{2}, the reciprocal of -\frac{2}{3}.

$$a=-\frac{4}{3}\left(-\frac{3}{2}\right)$$

Multiply -\frac{4}{3} times -\frac{3}{2} by multiplying numerator times numerator and denominator times denominator.

$$a=\frac{-4\left(-3\right)}{3\times 2}$$

Do the multiplications in the fraction \frac{-4\left(-3\right)}{3\times 2}.

$$a=\frac{12}{6}$$

Divide 12 by 6 to get 2.

$$a=2$$